import java.util.HashMap;
import java.util.Map;

/*
 * @Author: aponder
 * @Date: 2020-05-02 10:44:33
 * @LastEditors: aponder
 * @LastEditTime: 2020-05-02 11:22:10
 * @FilePath: /leetcode-zh/easy/303.区域和检索-数组不可变/Solution.java
 */
/*
 * @lc app=leetcode.cn id=303 lang=java
 *
 * [303] 区域和检索 - 数组不可变
 *
 * https://leetcode-cn.com/problems/range-sum-query-immutable/description/
 *
 * algorithms
 * Easy (60.82%)
 * Likes:    155
 * Dislikes: 0
 * Total Accepted:    36.8K
 * Total Submissions: 60K
 * Testcase Example:  '["NumArray","sumRange","sumRange","sumRange"]\n[[[-2,0,3,-5,2,-1]],[0,2],[2,5],[0,5]]'
 *
 * 给定一个整数数组  nums，求出数组从索引 i 到 j  (i ≤ j) 范围内元素的总和，包含 i,  j 两点。
 * 
 * 示例：
 * 
 * 给定 nums = [-2, 0, 3, -5, 2, -1]，求和函数为 sumRange()
 * 
 * sumRange(0, 2) -> 1
 * sumRange(2, 5) -> -1
 * sumRange(0, 5) -> -3
 * 
 * 说明:
 * 
 * 
 * 你可以假设数组不可变。
 * 会多次调用 sumRange 方法。
 * 
 * 
 */

// @lc code=start
// 方法 1
// class NumArray {
//     int[] nums;
//     public NumArray(int[] nums) {
//         this.nums = nums;
//     }
    
//     public int sumRange(int i, int j) {
//         int l = nums.length;
//         int sum = 0;
//         for (int k = i; k <= j && k < l; k++) {
//             sum += nums[k];
//         }
//         return sum;
//     }
// }

// 方法 2
// class NumArray {
//     Map<String, Integer> map = new HashMap<>();
//     int length;
//     public NumArray(int[] nums) {
//         length = nums.length;
//         for (int i = 0; i < length; i++) {
//             int sum = 0;
//             for (int j = i; j < length; j++) {
//                 sum += nums[j];
//                 // System.out.println(new StringBuilder().append(i).append(',').append(j).append(':').append(sum).toString());
//                 map.put(new StringBuilder().append(i).append(',').append(j).toString(), sum);
//             }
//         }
//     }

//     public int sumRange(int i, int j) {
//         // // 防止越界
//         // i = Math.max(i, 0);
//         // j = Math.min(j, length - 1);
//         return map.get(new StringBuilder().append(i).append(',').append(j).toString());
//     }
// }

// 方法 3
class NumArray {
    int[] sum;
    int length;
    public NumArray(int[] nums) {
        length = nums.length;
        sum = new int[length + 1];
        for (int i = 0; i < length; i++) {
            sum[i + 1] = sum[i] + nums[i];
        }
    }

    public int sumRange(int i, int j) {
        // // 防止越界
        // i = Math.max(i, 0);
        // j = Math.min(j, length - 1);
        return sum[j + 1] - sum[i];
    }
}
/**
 * Your NumArray object will be instantiated and called as such:
 * NumArray obj = new NumArray(nums);
 * int param_1 = obj.sumRange(i,j);
 */
// @lc code=end

// 方法 1
// Accepted
// 16/16 cases passed (89 ms)
// Your runtime beats 14.04 % of java submissions
// Your memory usage beats 39.13 % of java submissions (42.9 MB)

// 方法 2
// Time Limit Exceeded
// 15/16 cases passed (N/A)
// Testcase
// 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// 方法 3
// Accepted
// 16/16 cases passed (10 ms)
// Your runtime beats 99.48 % of java submissions
// Your memory usage beats 39.13 % of java submissions (43.1 MB)